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单选题 如果随机变量
与
满足
,则下列式子正确的是
A. 与相互独立
B. 与不相关
C. 
D. 
学科：概率统计
时间：2024-07-10 16:13:16
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题目1单选题
设随机变量<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">服从<img src="https://tihai-oss-cloud.itihey.com/img/f65f19e2ef88873c17dad48949991dd8.png">,<img src="https://tihai-oss-cloud.itihey.com/img/1896f8c514ae958c1973925e03ab7480.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">所服从的分布为A. <img src="https://tihai-oss-cloud.itihey.com/img/fcbccb5c69bfd6bbc96bb1a35a975ddc.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/60f74e39dad850d57b1cd34e9f904628.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/2b6ae567bce6689fe24a50f73930ccd8.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/8a29320a2ac0ac94e574e3729e7ca164.png">
题目2单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">为随机变量,其方差存在,<img src="https://tihai-oss-cloud.itihey.com/img/2811d155a46c28bc12da77df0a888eb0.png">为任意非零常数,则下列等式中正确的是A. <img src="https://tihai-oss-cloud.itihey.com/img/f5798a7b77103f4794443b2910be2f3f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/5bb186d7bef2417a52e8ee61ef72c633.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0955f132b4c113e9da1abcc199b294da.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/167f5c786a92c32a14d29bb0a66fe99f.png">
题目3单选题
如果随机变量<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">与<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">满足<img src="https://tihai-oss-cloud.itihey.com/img/7c453e7c5fc88d212297a6b8a2b3ceaa.png">,则下列式子正确的是A. <img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">与<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">相互独立B. <img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">与<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">不相关C. <img src="https://tihai-oss-cloud.itihey.com/img/2f6755621c90386df42722dbb9f5a186.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/fd909f50631a7b07505b956307fa5c7f.png">
题目4单选题
设连续性随机变量<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">的分布函数为<img src="https://tihai-oss-cloud.itihey.com/img/d837e05fd7d656225c70413c8c3a3a3a.png">,下列结论中不一定成立的是A. <img src="https://tihai-oss-cloud.itihey.com/img/e585d55ada28d0a02b643bc494c12dcd.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/4ad1f48228e6aa5f571a39cfb1c21e9e.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0394c64b68f709d1df8a006d9b6cfe7c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/d837e05fd7d656225c70413c8c3a3a3a.png">为连续函数
题目5单选题
设连续性随机变量<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">服从参数为2的泊松分布,则下列结论中正确的是A. <img src="https://tihai-oss-cloud.itihey.com/img/2484ef984e3ba0615a4e3d2191399903.png">,<img src="https://tihai-oss-cloud.itihey.com/img/104197818eff4071f5fe43adac2c540d.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a6249ea44185e514fab279a3cd42219b.png">,<img src="https://tihai-oss-cloud.itihey.com/img/288664965ec3b8d9ec9bc8ea6d140870.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/2484ef984e3ba0615a4e3d2191399903.png">,<img src="https://tihai-oss-cloud.itihey.com/img/1d083b5a6be2fc6c939674c24eff0e17.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a6249ea44185e514fab279a3cd42219b.png">,<img src="https://tihai-oss-cloud.itihey.com/img/310ea3e0a98b462419d9b276df6c6cfb.png">
题目6单选题
设随机变量<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">与<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">相互独立,且<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">与<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">分别服从参数为1,4的泊松分布,则<img src="https://tihai-oss-cloud.itihey.com/img/8a4be58833b90a01f303921cfb878da5.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/982749ebced4da602a48d94d19ca1edd.png">B. 5C. <img src="https://tihai-oss-cloud.itihey.com/img/602d0aa58de2b82e794d135c15595927.png">D. 3
题目7单选题
<img src="https://tihai-oss-cloud.itihey.com/img/f6070b3007871d4892cca0090637e81c.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/f6ee3f2f31f45212d694240e587ab35a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/66e879aa49407877262448f6e152faaa.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/c909a482fc5d62b10cd93e8180dece05.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/cd01689f05ac6feb7b126a58548e7caf.png">
题目8单选题
设随机变量<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">的密度函数<img src="https://tihai-oss-cloud.itihey.com/img/adb731ca272b73dda54484830be90f21.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">服从A. 均匀分布B. 泊松分布C. 正态分布D. 指数分布
题目9单选题
设随机变量<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">服从参数为2的指数分布,<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">服从<img src="https://tihai-oss-cloud.itihey.com/img/f65f19e2ef88873c17dad48949991dd8.png">,且<img src="https://tihai-oss-cloud.itihey.com/img/a927cb568f658154e8530ffa3ec07ba1.png">与<img src="https://tihai-oss-cloud.itihey.com/img/e8ebd51499934b670ec6fc4434f9af86.png">相互独立,则<img src="https://tihai-oss-cloud.itihey.com/img/74ea98b9ec2aa49a4f0ded296419cae6.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/59e3a18b3ecf2fca4770b5e5bceacfe0.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/59ab45a7d12d543caa1c4379114e31a6.png">C. 4D. 2
题目10单选题
用3个机床加工同一种零件,零件由各机床加工的概率分别为0.5、0.3、0.2,各机床加工的零件为合格品的概率分别等于0.94、0.9、0.95,全部产品的合格率为A. 0.94B. 0.93C. 0.92D. 0.95
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